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Analytic investigation of thick anisotropic plates with undulating surfaces. (English) Zbl 0965.74034

Bertram, B. (ed.) et al., Integral methods in science and engineering. Proceedings of the 5th international conference, IMSE’98, Houghton, MI, USA, August 10-13, 1998. Boca Raton, FL: Chapman & Hall/CRC. Chapman Hall/CRC Res. Notes Math. 418, 195-199 (2000).
This paper is concerned with a three-dimensional elastic stress analysis of anisotropic plates with undulating surfaces under bending loads. By means of appropriate series representations of stresses and displacements it is shown that the stress values at the undulating top surface of a plate may differ considerably from those of a perfectly flat top surface.
For the entire collection see [Zbl 0940.00032].

MSC:

74K20 Plates
74E10 Anisotropy in solid mechanics
74G10 Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics